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Finding the Fourth Proportional to 4,469.96, 6,165.74 and 2,878.67

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Solution

The fourth proportional to 4,469.96, 6,165.74 and 2,878.67 is: 3,970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.96 : 6,165.74 = 2,878.67 : x
  2. Step 2: Convert to fraction form
    4,469.96/6,165.74 = 2,878.67/x
  3. Step 3: Cross multiply
    4,469.96x = 6,165.74 × 2,878.67
  4. Step 4: Simplify right side
    4,469.96x = 17,749,085.54
  5. Step 5: Solve for x
    x = 17,749,085.54/4,469.96
  6. Step 6: Final answer
    x = 3,970.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.